A Treatise on the Geometry of the Circle and Some Extensions to Conic Sections by the Method of Reciprocation: With Numerous ExamplesMacmillan, 1891 - 299 σελίδες |
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Σελίδα vi
... references to the original memoirs from which extracts have been taken . SANTRY SCHOOL , 1st November , 1891 . WILLIAM J. M'CLELLAND . ARTICLE CONTENTS . CHAPTER I. INTRODUCTION . 1. Symmetry , vi PREFACE . ARTICLE CHAPTER.
... references to the original memoirs from which extracts have been taken . SANTRY SCHOOL , 1st November , 1891 . WILLIAM J. M'CLELLAND . ARTICLE CONTENTS . CHAPTER I. INTRODUCTION . 1. Symmetry , vi PREFACE . ARTICLE CHAPTER.
Σελίδα 1
... taken in alphabetical order on a circle , we have by Ptolemy's Theorem 12 BC.AD + AB.CD = BD . AC – – CA . BD , A = - the six linear segments being measured from left to right CHAPTER I INTRODUCTION Symmetry, Convention of Positive and ...
... taken in alphabetical order on a circle , we have by Ptolemy's Theorem 12 BC.AD + AB.CD = BD . AC – – CA . BD , A = - the six linear segments being measured from left to right CHAPTER I INTRODUCTION Symmetry, Convention of Positive and ...
Σελίδα 22
... taken on the sides of the given quadrilateral , such that P'Q ' , Q'R ' , R'S ' are parallel to PQ , QR , RS , then P'S ' is parallel to PS and the perimeters of the quadrilaterals are equal . [ Euc . VI . 2 and I. 5. ] 5. The value of ...
... taken on the sides of the given quadrilateral , such that P'Q ' , Q'R ' , R'S ' are parallel to PQ , QR , RS , then P'S ' is parallel to PS and the perimeters of the quadrilaterals are equal . [ Euc . VI . 2 and I. 5. ] 5. The value of ...
Σελίδα 34
... taken as the co - ordinate of its position , since if AX is known the position of C is also known . A X X1 X2 B Thus while AX continues to receive positive incre- ments , the area , altitude , and other functions of it are sometimes ...
... taken as the co - ordinate of its position , since if AX is known the position of C is also known . A X X1 X2 B Thus while AX continues to receive positive incre- ments , the area , altitude , and other functions of it are sometimes ...
Σελίδα 40
... taken on the sides of a triangle the circles AQR , BRP , and CPQ pass through a common point 0 . For let the circles AQR and BRP meet in O. Then since ( Euc . III . 22 ) QOR = T - A and ROP = π - В , we have QOP = 2π- ( π - A ) — ( π ...
... taken on the sides of a triangle the circles AQR , BRP , and CPQ pass through a common point 0 . For let the circles AQR and BRP meet in O. Then since ( Euc . III . 22 ) QOR = T - A and ROP = π - В , we have QOP = 2π- ( π - A ) — ( π ...
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Άλλες εκδόσεις - Προβολή όλων
A Treatise on the Geometry of the Circle: And Some Extensions to Conic ... William J. M'Clelland Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
A Treatise on the Geometry of the Circle and Some Extensions to Conic ... William J. M'Clelland Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD bisected bisector Brocard points centre of similitude centres of perspective circum-centre circum-circle coaxal system coincide common tangents concurrent concurrent lines conic constant corresponding cyclic polygon cyclic quadrilateral denote diagonals diameter distances equal equation equianharmonic ex-circles fixed point given circles hence hexagon in-circle infinity inscribed inverse points Isogonal Conjugates isosceles limiting points line at infinity lines joining locus maximum mean centre median median triangle meet middle point minimum multiples opposite sides orthocentre orthogonally pair of inverse parallel pedal triangle perpendiculars point of intersection points of contact polar polygon prove r₁ radical axis radius reciprocal rectangle right angles segments sides of ABC similar triangles Similarly Simson lines species squares subtend symmedian point system of points tangents Theorem transversal triangle ABC triangle PQR vertex vertical angle
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